LORENTZIAN WORMHOLES PDF

Time Travel and Warp Drives. One type of non-traversable wormhole metric is the Schwarzschild solution see the first diagram:. Introduction History Mathematical formulation Tests. Such an interaction prevents the formation of a gravitational singularity.

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A Wormhole is a theorized method of connecting to locations in space, either same galaxy or different galaxies There are different types of Wormholes but Lorentzian Wormholes are the ones that most people are familiar with.

In the simplest form, a Wormhole is a theorized tunnel connecting two points in space. It is also known as the Einstein-Rosen bridge or Einstein-Podolsky-Rosen bridge after the people who theorized about the concept.

The most well known of these three people is Albert Einstein, the German born American scientist. The other two are Nathan Rosen and Boris Podolsky. If you have watched anyone of these programmes, you would have come across a wormhole in some form of other Farscape, Star Trek, Andromeda Known as a slipstream , Stargate.

Take a piece of paper, make a hole near the top and a hole near the bottom. The shortest between those two points is a line? Wrong, fold the paper over and line up the two holes. Imagine a tunnel between the two holes, that would be the wormhole How do we know about Wormholes? In Arthur Eddington, proved that mass warps space which is a major feature for wormholes. He did this by travelling to the West African Island of Principe for the solar eclipse.

He proved that the Sun bent light from the stars as it passed in front of them. Einstein said that to create a wormhole, we would need the power of an exploding star.

The only available star is our Sun which is probably not a good idea to do. What is a Lorentzian Wormhole? These wormholes use a lot of negative mass to support them and not fall apart. Visser describes Negative Mass as "where the energy of the Universe is less than that of ordinary universe". How I understand it according to Miami , if you pushed something with normal mass, it moves away but negative mass, the object would come to you.

If the two equalise, then the wormhole will fall. If you are in the wormhole as you travel through, there is the strong possibility you would become trapped inside. All the wormholes that you see on television are Lorentzian wormholes. What is a Schwarzschild Wormhole? They are believed to be found in the centres of White and black hole s.

They are extremely unstable and would collapse immediately after creation. They exist because of Einsteins equations. What is a Euclidean Wormhole? These wormholes are more of interest to particle physicists. Inter wormholes connect a location from one point in our universe to another point in our universe as we see in Deep Space Nine et el.

Is time-travelling possible? What they later realise is the entrance is forty years in the past. The whole time travel ling question has yet to be answered but when it is, then the question of whether time-travelling wormholes can exist theoretically be answered if not discovered. Related Pages of Interest

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LORENTZIAN WORMHOLES VISSER PDF

A good popular level description of Lorentzian wormholes can be found in the book Black Holes and Time Warps: After a brief overview of general relativity and quantum field theory, the author devotes the first part of the book to the history of wormhole physics. Other non-traversable wormholes include Lorentzian wormholes first proposed by John Archibald Wheeler inwormholes creating a spacetime foam in a general relativistic spacetime manifold depicted wormnoles a Lorentzian manifold[14] and Euclidean wormholes sormholes after Euclidean manifolda structure of Riemannian manifold. Thermodynamics Schwarzschild radius M—sigma relation Event horizon Quasi-periodic oscillation Wormhlles sphere Innermost stable circular orbit Ergosphere Hawking radiation Penrose process Blandford—Znajek process Bondi accretion Spaghettification Gravitational lens. Study of such strange geometries can help better distinguish the boundaries of behavior permitted in the theory of general relativity, and also possibly provide wormhokes into effects related to quantum gravity. However, a light beam traveling through the same wormhole would of course beat the traveler. In addition, the black holes formed by a collapsing star have no associated wormhole at all. A very interesting, and critical discussion is given of topology changes of spacetime via quantum fluctuations.

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Wormhole Theory (Lorentzian, Schwarzschild, Euclidean)

Edit There is a compact region of spacetime whose boundary is topologically trivial but whose interior is not simply connected. Characterizing inter-universe wormholes is more difficult. One might like to regard the umbilicus as the throat of a wormhole, but the spacetime is simply connected. Wormhole types Edit Intra-universe wormholes connect one location of a universe to another location of the same universe. A wormhole should be able to connect distant locations in the universe by bending spacetime, allowing travel between them that is faster than it would take light to make the journey through normal space. See the image above. Inter-universe wormholes connect one universe with another [1] , [2].

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Lorentzian Wormholes

The bulk geometry is a solution of 5-dimensional second order Einstein Gauss Bonnet gravity and causally connects two asymptotically AdS space times. Based on the analysis, we propose a very simple geometric criterium to distinguish coupling from entanglement effects among the two set of degrees of freedom associated to each of the disconnected parts of the boundary. There is a general consensus, based on several checks, for the dual interpretation of various asymptotically AdS geometries: a big black hole solution is supposed to describe a thermal QFT state [4], a bulk solution interpolating between an AdS horizon corresponding to an IR conformal field fixed point and an AdS geometry at infinity of different radii realizes the renormalization group flow between two conformal fixed points [5]. As a third possibility, certain regular solitonic charged AdS solutions are interpreted as excited QFT coherent states [6]. We would revisit this statement and discuss the issue of whether the two dual theories are independent, decoupled or not. For completeness we quote that in the Euclidean context a theorem states that disconnected positive scalar curvature boundaries are also ruled for complete Einstein manifolds of negative curvature [12] see also [13].

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